skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Gauge B-L model with residual Z 3 symmetry

Abstract

We study a gauge B–L extension of the standard model of quarks and leptons with unconventional charges for the singlet right-handed neutrinos, and extra singlet scalars, such that a residual Z 3 symmetry remains after the spontaneous breaking of B–L. The phenomenological consequences of this scenario, including the possibility of long-lived self-interacting dark matter and Z' collider signatures is discussed. Lepton number L is a familiar concept. It is usually defined as a global U (1) symmetry, under which the leptons of the standard model (SM), i.e. e,μ,τ together with their neutrinos ν eμτ have L=1, and all other SM particles have L=0. In the case of nonzero Majorana neutrino masses, this continuous symmetry is broken to a discrete Z 2 symmetry, i.e. (-1) L or lepton parity. In this paper, we consider a gauge B–L extension of the SM, such that a residual Z 3 symmetry remains after the spontaneous breaking of B–L. This is then a realization of the unusual notion of Z 3 lepton symmetry. It has specific phenomenological consequences, including the possibility of a long-lived particle as a dark-matter candidate.

Authors:
 [1];  [1];  [2]; ORCiD logo [1]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Physics and Astronomy
  2. The institute of Mathematical Sciences, Chennai (India)
Publication Date:
Research Org.:
Univ. of California, Riverside, CA (United States). Dept. of Physics and Astronomy
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1214243
Grant/Contract Number:
SC0008541
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 750; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Ma, Ernest, Pollard, Nicholas, Srivastava, Rahul, and Zakeri, Mohammadreza. Gauge B-L model with residual Z3 symmetry. United States: N. p., 2016. Web. doi:10.1016/j.physletb.2015.09.010.
Ma, Ernest, Pollard, Nicholas, Srivastava, Rahul, & Zakeri, Mohammadreza. Gauge B-L model with residual Z3 symmetry. United States. doi:10.1016/j.physletb.2015.09.010.
Ma, Ernest, Pollard, Nicholas, Srivastava, Rahul, and Zakeri, Mohammadreza. 2016. "Gauge B-L model with residual Z3 symmetry". United States. doi:10.1016/j.physletb.2015.09.010.
@article{osti_1214243,
title = {Gauge B-L model with residual Z3 symmetry},
author = {Ma, Ernest and Pollard, Nicholas and Srivastava, Rahul and Zakeri, Mohammadreza},
abstractNote = {We study a gauge B–L extension of the standard model of quarks and leptons with unconventional charges for the singlet right-handed neutrinos, and extra singlet scalars, such that a residual Z3 symmetry remains after the spontaneous breaking of B–L. The phenomenological consequences of this scenario, including the possibility of long-lived self-interacting dark matter and Z' collider signatures is discussed. Lepton number L is a familiar concept. It is usually defined as a global U (1) symmetry, under which the leptons of the standard model (SM), i.e. e,μ,τ together with their neutrinos νe,νμ,ντ have L=1, and all other SM particles have L=0. In the case of nonzero Majorana neutrino masses, this continuous symmetry is broken to a discrete Z2 symmetry, i.e. (-1)L or lepton parity. In this paper, we consider a gauge B–L extension of the SM, such that a residual Z3 symmetry remains after the spontaneous breaking of B–L. This is then a realization of the unusual notion of Z3 lepton symmetry. It has specific phenomenological consequences, including the possibility of a long-lived particle as a dark-matter candidate.},
doi = {10.1016/j.physletb.2015.09.010},
journal = {Physics Letters. Section B},
number = C,
volume = 750,
place = {United States},
year = 2016,
month = 9
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2015.09.010

Citation Metrics:
Cited by: 16works
Citation information provided by
Web of Science

Save / Share:
  • We study a gauge B–L extension of the standard model of quarks and leptons with unconventional charges for the singlet right-handed neutrinos, and extra singlet scalars, such that a residual Z 3 symmetry remains after the spontaneous breaking of B–L. The phenomenological consequences of this scenario, including the possibility of long-lived self-interacting dark matter and Z' collider signatures is discussed. Lepton number L is a familiar concept. It is usually defined as a global U (1) symmetry, under which the leptons of the standard model (SM), i.e. e,μ,τ together with their neutrinos ν eμτ have L=1, and allmore » other SM particles have L=0. In the case of nonzero Majorana neutrino masses, this continuous symmetry is broken to a discrete Z 2 symmetry, i.e. (-1) L or lepton parity. In this paper, we consider a gauge B–L extension of the SM, such that a residual Z 3 symmetry remains after the spontaneous breaking of B–L. This is then a realization of the unusual notion of Z 3 lepton symmetry. It has specific phenomenological consequences, including the possibility of a long-lived particle as a dark-matter candidate.« less
  • The residual interaction for a meson-meson system is computed utilizing a cumulant expansion of the momentum-space time correlation matrix. The cumulant expansion serves to define free meson-meson operators. The definition of an effective interaction is then based on a comparison of the full (interacting) and the free (noninteracting) time correlation matrices. The proposed method, which may be transcribed to hadron-hadron systems in QCD, here is applied to a (2+1)-dimensional U(1) lattice gauge model tuned such that it is confining. Fermions are treated in the staggered scheme. The effective interaction exhibits a repulsive core and attraction at intermediate relative distances. Thesemore » findings are consistent with an earlier study of the same model utilizing L{umlt u}scher{close_quote}s method where scattering phase shifts are obtained directly. The computed residual interaction is used to calculate scattering phase shifts, relative meson-meson wave functions, and the total cross section. {copyright} {ital 1997} {ital The American Physical Society}« less
  • The residual interaction for a meson-meson system is computed utilizing the cumulant, or cluster, expansion of the momentum-space time correlation matrix. The cumulant expansion serves to define asymptotic, or free, meson-meson operators. The definition of an effective interaction is then based on a comparison of the full (interacting) and the free (noninteracting) time correlation matrices. The proposed method, which may straight forwardly be transcribed to other hadron-hadron systems, here is applied to a simple 2+1 dimensional U(1) lattice gauge model tuned such that it is confining. Fermions are treated in the staggered scheme. The effective interaction exhibits a repulsive coremore » and attraction at intermediate relative distances. These findings are consistent with an earlier study of the same model utilizing L{umlt u}scher's method where scattering phase shifts are obtained directly.« less
  • We examine the SU(2)/sub 2/ x U(1) x U(1) gauge model of Yang by a group-theoretical approach and also by explicit computation to determine the number of physically inequivalent solutions of spontaneous symmetry breakdown and the physical particle content of these solutions. We find only two pseudo-Goldstone bosons in this particular model. An error is pointed out in Yang's paper in the determination of the number of pseudo-Goldstone bosons present and in the identification of the physical particle fields. Although our work deals with a specific model, it does illustrate the general type of detailed analysis necessary to determine themore » possible physical particle content of a gauge theory. (AIP)« less
  • A class of models is devised which, while respecting electron-muon universality in the Lagrangian, results naturally in a small value of /m/sub e//m/sub ..mu../, and which does not involve the introduction of exotic new gauge interactions. (The gauge group is SU(2) x U(1) and the model is a relatively simple extension of the Weinberg-Salam model.) This is achieved by repeated applications of discrete symmetry. The model requires the existence of heavy leptons, and the precise value of m/sub e//m/sub ..mu../ depends upon the masses of these leptons.